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Finding the Third Proportional to 417,163.50 and 912,735

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Solution

The third proportional to 417,163.50 and 912,735 is: 1,997,023.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,163.50 : 912,735 = 912,735 : x
  2. Step 2: Convert to fraction form
    417,163.50/912,735 = 912,735/x
  3. Step 3: Cross multiply
    417,163.50x = 912,735 × 912,735
  4. Step 4: Simplify right side
    417,163.50x = 833,085,180,225
  5. Step 5: Solve for x
    x = 833,085,180,225/417,163.50
  6. Step 6: Final answer
    x = 1,997,023.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.